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Maths-

General

Easy

Question

The number of rectangles in the adjoining figure is –

5 × 5
⁵P₂ × ⁵P₂
⁵C₂× ⁵C₂
None of these

The correct answer is: ⁵C₂× ⁵C₂

$T h e space n u m b e r space o f space r e c tan g l e s space i n space a space l a r g e r space r e c tan g l e space i s space g i v e n space b y scriptbase C subscript 2 cross times end scriptbase presuperscript m scriptbase C subscript 2 space w h e r e space m space a n d space n space a r e space t h e space t w o space s i d e s space o f space t h e space l a r g e r space r e c tan g l e space a n d space i t space w i l l space h a v e space open parentheses m plus 1 close parentheses space a n d space open parentheses n plus 1 close parentheses space g r i d s. end scriptbase presuperscript n$
$therefore I n space t h e space a d j o i n g space f i g u r e comma T h e space n u m b e r space o f space r e c tan g l e s space a r e space C presuperscript 5 subscript 2 cross times C presuperscript 5 subscript 2$

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